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authorGravatar Jason Gross <jgross@mit.edu>2014-05-09 10:13:32 -0400
committerGravatar Matthieu Sozeau <mattam@mattam.org>2014-05-10 15:39:39 +0200
commitc7284415e4bdd3315c84c7d15d140d3fee000bc5 (patch)
treecc8ded3feba7e1da0dd4f7d17b7e5f974de752c3 /test-suite/bugs/closed/HoTT_coq_061.v
parent3f64bd23a343bcd7be0ef07afa7d9e3249df24ec (diff)
Move opened bugs to bugs/opened
Diffstat (limited to 'test-suite/bugs/closed/HoTT_coq_061.v')
-rw-r--r--test-suite/bugs/closed/HoTT_coq_061.v126
1 files changed, 0 insertions, 126 deletions
diff --git a/test-suite/bugs/closed/HoTT_coq_061.v b/test-suite/bugs/closed/HoTT_coq_061.v
deleted file mode 100644
index d1ea16ec3..000000000
--- a/test-suite/bugs/closed/HoTT_coq_061.v
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-(* File reduced by coq-bug-finder from 9039 lines to 7786 lines, then from 7245 lines to 476 lines, then from 417 lines to 249 lines, then from 171 lines to 127 lines. *)
-
-Set Implicit Arguments.
-Set Universe Polymorphism.
-Definition admit {T} : T.
-Admitted.
-Delimit Scope object_scope with object.
-Delimit Scope morphism_scope with morphism.
-Delimit Scope category_scope with category.
-Delimit Scope functor_scope with functor.
-Delimit Scope natural_transformation_scope with natural_transformation.
-Reserved Infix "o" (at level 40, left associativity).
-Inductive paths {A : Type} (a : A) : A -> Type :=
- idpath : paths a a.
-
-Arguments idpath {A a} , [A] a.
-Notation "x = y :> A" := (@paths A x y) : type_scope.
-Notation "x = y" := (x = y :>_) : type_scope.
-Definition inverse {A : Type} {x y : A} (p : x = y) : y = x
- := match p with idpath => idpath end.
-
-Record PreCategory :=
- {
- Object :> Type;
- Morphism : Object -> Object -> Type;
-
- Compose : forall s d d', Morphism d d' -> Morphism s d -> Morphism s d' where "f 'o' g" := (Compose f g)
- }.
-Bind Scope category_scope with PreCategory.
-
-Arguments Compose [!C%category s%object d%object d'%object] m1%morphism m2%morphism : rename.
-
-Infix "o" := Compose : morphism_scope.
-Local Open Scope morphism_scope.
-
-Record Functor (C D : PreCategory) :=
- {
- ObjectOf :> C -> D;
- MorphismOf : forall s d, C.(Morphism) s d -> D.(Morphism) (ObjectOf s) (ObjectOf d);
- FCompositionOf : forall s d d' (m1 : C.(Morphism) s d) (m2: C.(Morphism) d d'),
- MorphismOf _ _ (m2 o m1) = (MorphismOf _ _ m2) o (MorphismOf _ _ m1)
- }.
-
-Bind Scope functor_scope with Functor.
-
-Arguments MorphismOf [C%category] [D%category] F%functor [s%object d%object] m%morphism : rename, simpl nomatch.
-
-Definition ComposeFunctors C D E
- (G : Functor D E) (F : Functor C D) : Functor C E
- := Build_Functor C E
- (fun c => G (F c))
- admit
- admit.
-
-Infix "o" := ComposeFunctors : functor_scope.
-
-Record NaturalTransformation C D (F G : Functor C D) :=
- {
- ComponentsOf :> forall c, D.(Morphism) (F c) (G c);
- Commutes : forall s d (m : C.(Morphism) s d),
- ComponentsOf d o F.(MorphismOf) m = G.(MorphismOf) m o ComponentsOf s
- }.
-
-Generalizable All Variables.
-
-Section NTComposeT.
-
- Variable C : PreCategory.
- Variable D : PreCategory.
-
- Variables F F' F'' : Functor C D.
-
- Variable T' : NaturalTransformation F' F''.
- Variable T : NaturalTransformation F F'.
- Let CO := fun c => T' c o T c.
- Definition NTComposeT_Commutes s d (m : Morphism C s d)
- : CO d o MorphismOf F m = MorphismOf F'' m o CO s.
-
- admit.
- Defined.
- Definition NTComposeT
- : NaturalTransformation F F''
- := Build_NaturalTransformation F F''
- (fun c => T' c o T c)
- NTComposeT_Commutes.
-End NTComposeT.
-Definition NTWhiskerR C D E (F F' : Functor D E) (T : NaturalTransformation F F')
- (G : Functor C D)
- := Build_NaturalTransformation (F o G) (F' o G)
- (fun c => T (G c))
- admit.
-Global Class NTC_Composable A B (a : A) (b : B) (T : Type) (term : T) := {}.
-
-Definition NTC_Composable_term `{@NTC_Composable A B a b T term} := term.
-Notation "T 'o' U"
- := (@NTC_Composable_term _ _ T%natural_transformation U%natural_transformation _ _ _)
- : natural_transformation_scope.
-
-Local Open Scope natural_transformation_scope.
-
-Lemma NTWhiskerR_CompositionOf C D
- (F G H : Functor C D)
- (T : NaturalTransformation G H)
- (T' : NaturalTransformation F G) B (I : Functor B C)
-: NTWhiskerR (NTComposeT T T') I = NTComposeT (NTWhiskerR T I) (NTWhiskerR T' I).
-
- admit.
-Defined.
-Definition FunctorCategory C D : PreCategory
- := @Build_PreCategory (Functor C D)
- (NaturalTransformation (C := C) (D := D))
- admit.
-
-Notation "[ C , D ]" := (FunctorCategory C D) : category_scope.
-
-Variable C : PreCategory.
-Variable D : PreCategory.
-Variable E : PreCategory.
-Definition NTWhiskerR_Functorial (G : [C, D]%category)
-: [[D, E], [C, E]]%category
- := Build_Functor
- [C, D] [C, E]
- (fun F => F o G)
- (fun _ _ T => T o G)
- (fun _ _ _ _ _ => inverse (NTWhiskerR_CompositionOf _ _ _)).
-(* Anomaly: Uncaught exception Not_found(_). Please report. *)